Summary
Assume there exists a steady solution with an interior shock layer. We prove that it is non-linearly stable if the corresponding inviscid steady state is linearly stable and the shock profile is linearly stable. The rate of convergence is determined by the corresponding inviscid eigenvalue problem.
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© 1993 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Kreiss, G. (1993). Convergence to Steady State of Solutions of Viscous Conservation Laws. In: Donato, A., Oliveri, F. (eds) Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects. Notes on Numerical Fluid Mechanics (NNFM), vol 43. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87871-7_45
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DOI: https://doi.org/10.1007/978-3-322-87871-7_45
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-528-07643-6
Online ISBN: 978-3-322-87871-7
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